How is sigma notation used to evaluate a series?

How many ounces of trail mix are in a bag that weighs 0.681 kilograms? Input only numeric values. (1 pound = 0.454 kg and 1 poun

Kay [80]

How you would find it: 0.454/16 = .028375

5 0

3 years ago

Read 2 more answers

According to records from 50 years, there is a 2/3 chance of June temperatures being above 80 F. Azul needs to find the probabil

Brrunno [24]

Record of june temperature of last 50 years

Probability of June temperature being above 80° F from last 50 years

$=\frac{2}{3}$

It means , out of 30 days ,there are only 20 days , in which temperature is above 80°F.

⇒Probability that it will be above 80° F for 20 or more days this June

$=\frac{20+x}{30}$

where, x is the number of extra days after 20 days in month of june, when temperature is above 80°F.

Value of this Probability will be in between

$\frac{2}{3}\leq P \leq 1$

Now, what Azul wants

To find the probability that it will be above 80° F for 20 or more days this June.

The Simulation given is

⇒There are 30 days in June. If we use a number cube with the numbers 1-6 and assign 1-4 as a temperature above 80° F and 5-6 as a temperature 80° F or below.

Total number of numbers on number cube ={1,2,3,4,5,6}

Favorable Outcome={1,2,3,4}=Temperature above 80° F

Temperature 80° F or below ={5,6}

⇒Probability of getting number {1,2,3,4} on the number cube when rolled once,that is Temperature above 80° F

$=\frac{4}{6}\\\\=\frac{2}{3}$

⇒Probability of getting number {5,6} on the number cube when rolled once, that is Temperature 80° F or below

$=\frac{2}{6}\\\\=\frac{1}{3}$

This is Incorrect Simulation, as there are chances that , there can be more than 20 days out of 30 days when Temperature goes above 80° F.But Here we have got Probability of temperature being above 80° F for 20 days only, not more than 20 days, which is $=\frac{2}{3}$

Not,a number

$\frac{2}{3}< \text{Probability} \leq 1$ .